What is the derivative of 5x^4 ?

The derivative of 5x^4 is 20x^3

What is the first derivative of 5x^4 ?

The first derivative of 5x^4 is 20x^3

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derivative of

5 x^{4}

20 x^{3}

Solution steps

\frac{d}{d x} (5 x^{4})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 \frac{d}{d x} (x^{4})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 5 \cdot 4 x^{4 - 1}

Simplify

= 20 x^{3}

\frac{\partial}{\partial x} (4 - x^{2} + x y - 3 y^{2})

\int 2 t sin (t) d t

\frac{\partial}{\partial x} (\frac{y}{x + y})

f (x) = 10 - x^{2}

7 x^{2} \frac{d y}{d x} = \frac{d y}{d x} + 7 x e^{- y}